Question

Pfvr me ajudeee...

Como faço isso??

1- ₄√64

2- ₃√625

3- ₄√512

Answer 1

Fatore os números.

$\sqrt[4]{64}\rightarrow\sqrt[4]{2^6}\rightarrow\sqrt[4]{2^4\cdot2^2}\rightarrow2\sqrt[4]{2^2}\rightarrow2\sqrt[4]{4}$

$\sqrt[3]{625}\rightarrow\sqrt[3]{5^4}\rightarrow5\sqrt[3]{5}$

$\sqrt[4]{512}\rightarrow\sqrt[4]{2^9}\rightarrow\sqrt[4]{2^4\cdot2^4\cdot2}\rightarrow2\cdot2\sqrt[4]{2}\rightarrow4\sqrt[4]{2}$

Answer 2

a)

⁴√64  = ⁴√2⁶ =  ⁴√2⁴.⁴√2² = 2 ⁴√4

¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨

b)

∛625 = ∛5⁴  =  ∛5³ . ∛5  =  5 ∛5
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c)

⁴√512 = ⁴√2⁹  =  ⁴√2⁴ . ⁴√2⁴ . ⁴√2  =  2.2. ⁴√2  =  4 ⁴√2

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